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It is impractical to make wire loops 1 million miles in circumference. But lengths of wire can be coiled up. When this is done, the magnetic flux is increased for a given length of wire compared with the flux produced by a single-turn loop. The magnetic flux density inside a coil is multiplied when a ferromagnetic core is placed within it. The increase in flux density has the effect of increasing the inductance, too, so L is many times greater with a ferromagnetic core than with an air core or a nonmagnetic core such as plastic or wood. The current that an inductor can handle depends on the diameter (gauge) of the wire. But the value of L is a function of the number of turns in the coil, the diameter of the coil itself, and the overall shape of the coil. In general, the inductance of a coil is directly proportional to the number of turns of wire. Inductance is directly proportional to the diameter of the coil. The length of a coil, given a certain number of turns and a certain diameter, has an effect as well. If a coil having a certain number of turns and a certain diameter is stretched out, its inductance decreases. Conversely, if it is squashed up, its inductance increases.

Suppose you have a wire a million miles long. What will happen if you make this wire into a huge loop, and connect its ends to the terminals of a battery (Fig. 10-1) You can surmise that a current will flow through the loop of wire. But this is only part of the picture. If the wire was short, the current would begin to flow immediately and it would attain a level limited by the resistance in the wire and in the battery. But because the wire is extremely long, it will take a while for the electrons from the negative terminal to work their way around the loop to the positive terminal. The effect of the current moves along the wire at a little less than the speed of light. In this case, it s about 180,000 miles per second, perhaps 97 percent of the speed of light in free space. It will take a little time for the current to build up to its maximum level. The first electrons won t start to enter the positive terminal until more than five seconds have passed. The magnetic field produced by the loop will be small at first, because current is 183

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flowing in only part of the loop. The flux will increase over a period of a few seconds, as the electrons get around the loop. Figure 10-2 is an approximate graph of the overall magnetic field versus time. After about 5.5 seconds, current is flowing around the whole loop, and the magnetic field has reached its maximum.

When a battery is first connected across an inductor, the current builds up at a rate that depends on the inductance. The greater the inductance, the slower the rate of current buildup for a given battery voltage. The unit of inductance is an expression of the ratio between the rate of current buildup and the voltage across an inductor. An inductance of 1 henry (1 H) represents a potential difference of 1 volt (1 V) across an inductor within which the current is changing at the rate of 1 ampere per second (1 A/s). The henry is a huge unit of inductance. You won t often see an inductor this large, although some power-supply filter chokes have inductances up to several henrys. Usually, inductances are expressed in millihenrys (mH), microhenrys ( H), or nanohenrys (nH). You should know your prefix multipliers by now, but in case you ve forgotten: 1 mH = 0.001 H = 10 3 H 1 H = 0.001 mH = 10 6 H 1 nH = 0.001 H = 10 9 H Small coils with few turns of wire produce small inductances, in which the current changes quickly and the induced voltages are small. Large coils with ferromagnetic cores, and having many turns of wire, have high inductances in which the current changes slowly and the induced voltages are large. The current from a battery, building up or dying down through a high-L coil, can give rise to a deadly potential difference between the end terminals of the coil many times the voltage of the battery itself. This is how spark coils work in internal combustion engines. Be careful around them!

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